On a regular Ψ-fractional Sturm-Liouville problem

Ferreira, M.; Rodrigues, M. Manuela; Vieira, Nelson

http://hdl.handle.net/10400.8/7586

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Authors

Ferreira, M.

Rodrigues, M. Manuela

Vieira, Nelson

Abstract(s)

In this short paper, we consider a $\psi$-fractional Sturm-Liouville eigenvalue problem by using left $\psi$-Caputo and right $\psi$-Riemann-Liouville fractional derivatives. We study the main properties of the eigenfunctions and the eigenvalues of the associated fractional boundary problem.

Keywords

psi-fractional derivatives psi-fractional Sturm-Liouville problem Eigenvalues Eigenfunctions

URI

http://hdl.handle.net/10400.8/7586

Citation

M. Ferreira, M.M. Rodrigues, N. Vieira, On a regular Ψ-fractional Sturm-Liouville problem. In International Conference on Mathematical Analysis and Applications in Science and Engineering – Book of Extended Abstracts, C. Pinto, J. Mendonça, L. Babo, D. Baleanu (eds.), Polytechnic of Porto. School of Engineering, Portugal, June 27-29, 2022, 167-170.